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Finding the Third Proportional to 3,434 and 6,034

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Solution

The third proportional to 3,434 and 6,034 is: 10,602.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434 : 6,034 = 6,034 : x
  2. Step 2: Convert to fraction form
    3,434/6,034 = 6,034/x
  3. Step 3: Cross multiply
    3,434x = 6,034 × 6,034
  4. Step 4: Simplify right side
    3,434x = 36,409,156
  5. Step 5: Solve for x
    x = 36,409,156/3,434
  6. Step 6: Final answer
    x = 10,602.55

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.